Home / Faculty / Ventura, Jade

Ventura, Jade

Assistant Professor
Email Addressjventura@math.upd.edu.ph
RoomMath Building 216
Websitevisit website (external)
Research Interests
Differential geometry. Mathematical models in fundamental physics and consciousness science.
  • Education
    • PhD Mathematics (2021)
      Université de Bretagne Occidentale

      Dissertation: Biconformal Deformations and Solutions to the Einstein Equation
      Adviser: Dr. Paul Baird

    • MS Mathematics (2014)
      University of the Philippines Diliman

      Thesis: Parallel Travel on Spacetime Manifolds
      Adviser: Dr. Richard S. Lemence

    • BS Applied Mathematics (2010), class valedictorian
      University of the Philippines Mindanao

      Thesis: Behavior Pattern Discovery Using Behavior Matrices and Behavior Prediction Relationships: The Case of Prey Delivery Instances of the Philippine Eagle Pithecophaga jefferyi
      Adviser: Dr. May Anne E. Mata

  • Research

    Current research projects

    1. Fundamental physics
      1. Biconformal deformation of cosmological models
      2. Biconformal deformation of black hole spacetimes
      3. Biconformal deformation and numerical solutions
    2. Consciousness science
      1. IIT: Mathematical structure
      2. IIT and EFEM: Numerical methods
      3. IIT and EFEM: Unification of consciousness contents
      4. CAT: Numerical methods
      5. Consciousness models and Shannon information theory
      6. Consciousness models and category theory

    Featured research students

    1. Arjun Lhanz Antolin, Multi-view geometry and spherical projections
    2. Ana Katrina Asuncion, IIT 3.0: Mathematical structure and applications
    3. Garry Dacillo, Braided ribbons and free groups
    4. Sherwin Parena, Generalizations of Einstein manifolds
    5. Cedie Reyes, Biconformal deformation of Ricci solitons
  • Teaching

    Featured courses

    1. Undergraduate courses
      1. Math 140 Introduction to modern geometries
      2. Math 142 Elementary topology
      3. Math 146 Introduction to differential geometry
    2. Graduate courses
      1. Math 242 General topology
      2. Math 243 Algebraic topology
      3. Math 246 Differential geometry
  • Publications
    1. P. Baird and J. Ventura, Four-dimensional Einstein metrics from biconformal deformations, Arch. Math. 57 (2021), no. 5, 255-283, DOI 10.5817/AM2021-5-255.